Mass predictions, partial difference equations and higher-order isospin effects

Conference · Thu Dec 10 04:00:00 EST 1987 · AIP Conf. Proc.; (United States)

OSTI ID:5474234

Masson, P J; Jaenecke, J

The Garvey-Kelson mass relation has been extended by introducing inhomogeneous source terms to improve problems with long-range extrapolations. Such mass relations are third-order partial difference equations with solutions representing mass equations. It was found that inhomogeneous source terms based on shell-dependent Coulomb and symmetry energy terms are not sufficient to improve upon extrapolations. However, contributions from higher-order perturbations in isospin (mostly cubic) have a significant effect. A many-parameter mass equation was constructed as the solution of an inhomogeneous difference equation with properly adjusted shell-dependent source terms. The standard deviation for reproducing the experimental mass values is sigma/sub m/ = 194 keV. Nuclear contributions were subjected to the constraint of charge symmetry, and Coulomb displacement energies are reproduced with sigma/sub c/ = 41 keV. Mass predictions for over 4000 nuclei with A>16 and both Ngreater than or equal toZ and N

• Research Organization: The University of Michigan, Ann Arbor, Michigan 48109, USA
• OSTI ID: 5474234
• Report Number(s): CONF-870970-
• Conference Information: Journal Name: AIP Conf. Proc.; (United States) Journal Volume: 164:1
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ISOSPIN
MASS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
NUMERICAL SOLUTION
PARTICLE PROPERTIES
SHELL MODELS